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Finding the Fourth Proportional to 253,782.08, 380,643.68 and 66,808.16

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Solution

The fourth proportional to 253,782.08, 380,643.68 and 66,808.16 is: 100,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,782.08 : 380,643.68 = 66,808.16 : x
  2. Step 2: Convert to fraction form
    253,782.08/380,643.68 = 66,808.16/x
  3. Step 3: Cross multiply
    253,782.08x = 380,643.68 × 66,808.16
  4. Step 4: Simplify right side
    253,782.08x = 25,430,103,876.43
  5. Step 5: Solve for x
    x = 25,430,103,876.43/253,782.08
  6. Step 6: Final answer
    x = 100,204.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.